Gradings on simple Lie algebras
Alberto Elduque, Mikhail Kochetov
Gradings are ubiquitous in the theory of Lie algebras, from the root space decomposition of a complex semisimple Lie algebra relative to a Cartan subalgebra to the beautiful Dempwolff decomposition of as a direct sum of thirty-one Cartan subalgebras. This monograph is a self-contained exposition of the classification of gradings by arbitrary groups on classical simple Lie algebras over algebraically closed fields of characteristic not equal to 2 as well as on some nonclassical simple Lie algebras in positive characteristic. Other important algebras also enter the stage: matrix algebras, the octonions, and the Albert algebra. Most of the presented results are recent and have not yet appeared in book form. This work can be used as a textbook for graduate students or as a reference for researchers in Lie theory and neighboring areas. This book is published in cooperation with Atlantic Association for Research in the Mathematical Sciences (AARMS)
Categories:
Year:
2013
Publisher:
American Mathematical Society
Language:
english
Pages:
354
ISBN 10:
0821898469
ISBN 13:
9780821898468
Series:
Mathematical Surveys and Monographs 189
File:
PDF, 2.60 MB
IPFS:
,
english, 2013